已知圆\( C\)经过两点\(A\left( {0,2} \right),B(4,6)\)，且圆心\( C\)在直线\(l:2x - y

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已知圆\( C\)经过两点\(A\left( {0,2} \right),B(4,6)\)，且圆心\( C\)在直线\(l:2x - y - 3 = 0\)上，则圆\( C\)的方程\( (\) \( )\)

A.\({x^2} + {\left( {y - 3} \right)^2} = 25\)

B.\({\left( {x - 1} \right)^2} + {\left( {y + 1} \right)^2} = 10\)

C.\({\left( {x - 3} \right)^2} + {\left( {y - 3} \right)^2} = 10\)

D.\({\left( {x - 1} \right)^2} + {\left( {y + 1} \right)^2} = 58\)

参考答案：C